In "Frege: Philosophy of Mathematics" Dummett recommends the following thesis, (PNP): the correct analysis of any sentence containing a plural noun phrase will show that the phrase is functioning predictively. According to Dummett, (PNP), applied to numerical predications such as the leaves are 1,000' is the key premise in Frege's argument against Mill's theory of numbers. But Frege never subscribed to (PNP) and he rejected such numerical predications, and point out how Frege's own semantic theory for plural noun phrases obscures his idea of a relation